How To Do Absolute Value On Ti-36x Pro

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TI-36X ý

Scientific Calculator

USER'S GUIDE

 2000, 2003 Texas Instruments Incorporated

instruction.ti.com

ti-cares@ti.com

Ti36eng1.doc TI-36X II Manual Linda Bower Revised:

01/10/03 10:47 AM Printed: 01/x/03 10:47 AM Page 0 of

48

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Summary of Contents for Texas Instruments solar TI-36X

• Page i TI-36X ý Scientific Reckoner USER'S GUIDE  2000, 2003 Texas Instruments Incorporated pedagogy.ti.com ti-cares@ti.com Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/x/03 10:47 AM Page 0 of...

• Page 2: Table Of Contents

  Table of Contents Turning the Estimator On and Off...i Alternating Functions...1 Display...2 Scrolling...2 Menus...3 Set up...three Clearing, Correcting, and Resetting ...4 Display Indicators ...5 Order of Operations...6 Basic Operations ...7 Last Answer...vii Percent ...9 Fractions...x Exponents, Roots, and Reciprocals ...eleven Annotation ...12 Pi ...13 Memory...14 Stored Operations ...16...

• Page three: Turning The Calculator On And Off

  Turning the Calculator On and Off The TI-36X is battery powered. • To turn on the TI-36X , press • To turn off the TI-36X , press memory is retained. APDé (Automatic Power Downé) turns off the TI-36X automatically if no key is pressed for about five minutes.

• Page four: Display

  Display The TI-36X has a two-line display. The kickoff line (Entry Line) displays an entry of upward to 88 digits or items (47 for Stat or Stored Operations). Entries brainstorm on the left; those with more than than 11 digits scroll to the left.

• Page 5: Menus

  Menus Some key presses admission menus: , and The card choices are displayed on the screen. Press to curl through the menu and underline an particular. To select an underlined item: • Printing while the item is underlined. Or, • For menu items followed by an statement value, enter the argument value while the item is underlined.

• Page half dozen: Clearing, Correcting, And Resetting

  Clearing, Correcting, and Resetting Activity Action depends on position of the cursor. • If cursor is in the heart of an entry, clears character under the cursor and all characters to the right of the cursor. • If cursor is at the end of an entry, clears the entire entry.

• Page vii: Display Indicators

  Display Indicators Special indicators may appear in the display to provide additional data about functions or results. Indicator Meaning 2nd part is active. Calculator is rounding results to specified number of places. SCI or ENG Scientific or engineering annotation is active.

• Folio 8: Social club Of Operations

  Society of Operations The TI-36X uses EOSè (Equation Operating System) to evaluate expressions. Order Evaluation Expressions inside parentheses. Functions which need a ) and precede the argument, such as sin, log, and all R/P menu items; Boolean Logic Not and two's complement.

• Folio 9: Basic Operations

  Basic Operations As yous press keys, numerals, operators, and results appear on the display. Enters numerals 0 through 9. Adds, subtracts, multiplies, divides. Opens, closes a parenthetical expression. Inserts the decimal point. Enters a negative sign. Completes all operations. Final Reply recalls the value of the most recently calculated consequence and enters it into the electric current entry as Ans.
• Page ten ³ 5è9+half dozen-ii 5è(9+vi)-2 Ansñ8.7 Westward 8 8 7 < viii.390804598 F0123456789 Ansñ8.7 5è2+Ans 5è29 2+Ans 5è(9+half dozen)-two 5è(8+6)-2 MEM CLEARED Ti36eng1.medico TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 8 of Examples ß ß ß ß...

• Page 11: Percent

  Percentage To summate a per centum, press later entering a value. ³ A mining company mines 5000 tons of ore having a 3-percent concentration of metal, 7300 tons having a 2.3-percent concentration, and 8400 tons having a three.one-per centum concentration. How much metallic does the company become in total from the 3 quantities of ore? If the metal is worth $280 per ton, what is the value of the total corporeality of metal present in the three quantities...

• Page 12: Fractions

  Fractions Fractional calculations tin can brandish partial or decimal results. Results are automatically simplified. Enters a fraction. Printing entering whole number, and betwixt numerator and denominator, both of which must exist positive integers. To negate a fraction or a mixed number, press before entering the commencement statement.

• Page 13: Exponents, Roots, And Reciprocals

  Exponents, Roots, and Reciprocals Calculates the square of a value. Raises a value to whatever power within the range of the computer. If the number is negative, the power must be an integer. If you include an operation in the exponent, you must use parentheses.

• Page fourteen: Notation

  Annotation displays the Numeric Notation mode carte du jour. • FLO (default): Displays results in floating notation, with digits to the left and right of the decimal point. • SCI: Displays results in scientific notation. The format of scientific note is n 10 10^p, where one { n<10 and p is an integer.
• Folio xv enters the value of p. It is stored internally to 13 digits ( iii.141592653590 ) and displayed to 10 digits ( iii.141592654 ). When multiplying p by a number, you exercise not need to press ; multiplication is implicit. ³ Find the circumference and the area of a circle having a radius of v centimeters.

• Folio xvi: Retentivity

  Retentivity The TI-36X has five memory variables. You tin can store a existent number or an expression that results in a existent number to a retentivity variable. For storing circuitous numbers to retentiveness, encounter folio 31. Lets yous store values to variables. Recalls the values of variables.
• Folio 17 In improver to serving as a memory variable, E stores a seed value to generate a random number when yous are using the Probability office (see page 32). ³ A gravel quarry is opening ii new pits: ane is 350 meters past 560 meters, and the other is 340 meters by 610 meters.

• Page xviii: Stored Operations

  Stored Operations The TI-36X stores two operations, Op1 and Op2. To shop an performance to Op1 or Op2 and call up it: 1. Press 2. Enter the functioning, beginning with an operator (such as +, M, Q, P, or ^). You tin store any combination of numbers, operators, and menu items and their arguments, to a limit of 47 characters or items.
• Page 19 ³ OP1=è2 3è2 6è2 12è2 OP2=+5 10+v xv+5 twenty+5 25è2 l+5 Ti36eng1.physician TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/x/03 10:47 AM Page 17 of Examples ß ß ß ß ß ß ß ß...

• Page 20: Logarithms

  Logarithms displays a menu of log functions. Yields the mutual logarithm of a number. Raises x to the ability you specify. Yields the logarithm of a number to the base e (e= two.718281828495 ). Raises e to the power yous specify. Select the role on the menu, then enter the value and complete the expression with ³...
• Page 21 ³ A radioactive substance decays exponentially. If y grams of certain radioactive substance are initially present, the number of grams y(t) afterwards t days is given by the formula: -0.00015t y(t)=y Later 340 days, how much of a v-gram sample of this radioactive substance remains? After 475 days? Store the abiding part of the exponent to memory so you lot need enter information technology only once.

• Page 22: Trigonometric Functions

  Trigonometric Functions displays a menu of the trigonometric functions (sin, sin , cos, cos , tan, tan ). Press select the desired function, enter the value, and close the parentheses with Set the desired bending mode before starting trigonometric calculations. The problems beneath assume the default, which is caste mode.
• Folio 23 ³ Find angle a in the correct triangle below. And so find the length of the hypotenuse h and angle b. Measurements of length and summit are in meters. Round off results to ane decimal place. Remember 3/7=tan a , and so a =tan (3/seven).

• Page 24: Angle Modes

  Angle Modes displays a menu to specify the angle unit modifier for an entry: degrees (é), radians ( ), grads ( (é ê ë). It also lets yous convert an angle to DMS Notation (4DMS). Y'all tin can utilise a DMS value in calculations, just so the results will no longer be in DMS format;...
• Page 25 displays a carte (DEG RAD GRD) to express angle measurements in degrees (default), radians, or grads, respectively. ³ You probably know that xxx = /half-dozen radians. In the default Degree Mode, find the sine of thirty . Then set the calculator to Radian Mode and discover the sine of /6 radians.

• Page 26: Rectangular/Polar

  Rectangular/Polar displays a menu to convert rectangular coordinates (x, y) to polar coordinates (r, ) or vice versa. For each coordinate to which you are converting, enter both values expressed in the format from which y'all are converting, separated past a comma, then close the parentheses with before you complete the functioning with...

• Page 27: Hyperbolic Functions

  Hyperbolic Functions displays a menu of hyperbolic functions (sinh, sinh , cosh, cosh , tanh, tanh ). Angle modes do not bear upon hyperbolic calculations. ³ Given the hyperbolic function y=3cosh(x-1) Find the value of y when x=2 and 10=5. Round off results to one decimal identify.

• Page 28: Metric Conversions

  Metric Conversions Press to access a menu of 20 conversions from the metric system into the English language system and vice versa. Coil through the choices with select with .To reverse the direction of the conversion, printing while the desired detail is underlined.
• Page 29 ³ Convert 10 kilometers into miles. Then catechumen 50 miles into kilometers. Round results to two decimal places. Ý kmòmile x kmÞmile 50 mileÞkm ³ Under a pressure of one atmosphere, ethyl alcohol freezes at L 117 C and boils at 78.5 C. Convert these temperatures to the Fahrenheit calibration.

• Folio 30: Concrete Constants

  Physical Constants Press to access a menu of xvi physical constants. Scroll through the choices with Value Constant speed of light 299792458 meters per 2d gravitational 9.80665 meters per second acceleration vi.62606876Q 10 Planck's constant seconds 6.02214199Q 10 Avogadro's number per mole R ideal gas constant 8.314472 Joules per mole...
• Page 31 ³ A brick falls off the roof of a building and hits the sidewalk 3.5 seconds later. Notice the height of the edifice in meters and then in anxiety, rounded off to the nearest whole number. The formula for distance fallen is y= L where t = time in seconds, and grand =gravitational dispatch ( nine.80665 meters per second-squared).

• Page 32: Integrals

  Integrals The TI-36X performs numerical integration using Simpson's Rule. To set for an integral, store the lower limit in memory variable A, the upper limit in retentivity B, and the number of intervals (from 1 to 99) in memory C. Press and enter the expression, using memory variable A as the independent variable.
• Folio 33 ³ ⌡ ⌠ Find sin a + cos a da , using x intervals. Solve the trouble once again, using xx intervals. 0ÞA åñ2ÞB i.570796327 10ÞC µ CALC ‰sin(A)+cos two.000000423 20ÞC µ CALC ‰sin(A)+cos two.000000026 Ti36eng1.doc TI-36X 2 Transmission Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 31 of Problem ß...

• Page 34: Probability

  Probability Press to access a menu of functions. Calculates the number of possible permutations of northward items taken r at a time. The lodge of objects is important, as in a race. Calculates the number of possible combinations of n items taken r at a fourth dimension. The gild of objects is not important, as in a mitt of cards.
• Page 35 ³ Compute where north=52 and r=5. r!(n-r)! nPr nCr ! 52!ñ(5!è(52 You no doubt recognize the to a higher place formula to detect the number of possible combinations of north objects taken r at a time without replacement. You lot can obtain this result more directly by using nCr on the Probability menu.

• Folio 36: Statistics

  Statistics displays a menu. Analyzes data from 1 fix of data with 1 measured variable: ten. Analyzes paired data with 2 measured variables: x , the independent variable, and y , the dependent variable. Yields regression equation in the form y=a+bx. Analyzes paired data with 2 measured variables.
• Page 37 To prepare the problem and perform the analysis: 1. Press . Select the desired type of analysis from the carte du jour and press . The STAT indicator displays. 2. Press 3. Enter a value for X and press four. Then: •...
• Page 38 7. When finished: • Printing and select CLRDATA to clear all data points without exiting STAT way, or • Press to admission the following carte. EXIT ST: Y Press when Y (yeah) is underlined to clear all data values and go out STAT mode. STAT indicator turns off.
• Page 39 ³ The table beneath gives the Gross Domestic Production per capita and the telephone density (main lines per 100 population) for several countries in a recent year. Country Gdp/Cap. Austria $25032 Israel $13596 Argentine republic $ 8182 Brazil $ 3496 China $ 424 Using the LIN regression, find the equation representing the all-time fit, in the form y= a+bx , where x=Gross domestic product/capita...
• Folio 40 Ý ÷xy a b r Ý ÷xy a b r Ý ÷xy a b r Ý x' y' y'(10695) ane 0 6 9 5 x'(five.68) The equation is y=3.5143+0.0019x . The coefficient of correlation is .9374. A land with a Gdp per capita of $10695 is predicted to take a telephone density of 24.08.

• Page 41: Boolean Logic Operations

  Boolean Logic Operations Press to access a menu of Boolean Logic operations. Function Consequence on Each Bit of the Issue 0 AND 0 = 0 0 AND 1 = 0 0 OR 0 = 0 0 OR ane = 1 0 XOR 0 = 0 0 XOR 1 = ane Not 0 = one...

• Page 42: Number-Arrangement Modes

  Number-Arrangement Modes Number organization modes are 2d functions of keys. Selects decimal mode (default). When the calculator is in another number way, press to return the reckoner to decimal mode. Note: Normally you should keep the computer in the decimal manner, considering some of the reckoner'southward operating features are limited or nonexistent in the other modes.

• Page 43: Complex Numbers

  ³ Add 456+125 in base 8 and in hexadecimal. And then render the calculator to decimal mode and do the same improver. 456+125 four v 6 i 2 5 456+125 456+125 Complex Numbers Enter a circuitous number as an ordered pair in parentheses, with the real part first.
• Page 44 Printing to access a bill of fare. conj Returns the conjugate of a complex number. real Returns the real part of a complex number. imag Returns the imaginary part of a complex number. Returns the absolute value of a number. ³ Observe the product of (four-2i) and (three+5i); display the imaginary part as well every bit the existent part of the result.

• Folio 45: Error Conditions

  Error Atmospheric condition When Error appears in the display, the calculator will not accept a keyboard entry until you press . Printing once to clear the error message and return to the entry that caused the fault; then you tin edit the entry or clear the display. ARGUMENT - a function does not have the correct number of arguments.
• Page 46 DOMAIN - You specified an argument to a office exterior the valid range. For example: • For ‡: x=0; y<0 and x not an odd integer. • For y : y and x=0; y<0 and x not an integer. • For ‡x, x<0. •...

• Page 47: In Case Of Difficulty

  In Case of Difficulty Review instructions to be sure calculations were performed properly. Press simultaneously to reset. When released, retentiveness and settings are cleared, and MEM CLEARED is displayed. Check the battery to ensure that it is fresh and properly installed.

• Folio 48: Service Information

  For data about the length and terms of the warranty or about product service, refer to the warranty argument enclosed with this product or contact your local Texas Instruments retailer/benefactor. Ti36eng1.physician TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/ten/03 10:47 AM Page 46 of...

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